Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is equidistant from the three vertices .

Q: general form of the parabola

A: Given,             x-72=y-12To find : The general form of the parabola.We knwo that,            The…

Q: use a graphing utility to graph theequation. Move the cursor along the curve to approximate…

A: Consider the given function. y=5-x Now, draw the graph of the function.

Q: Determine the y-intercept of the parabola whose graph is given. Write answer as an ordered pair. 1 2…

A: We will understand the concept of y intercept.

Q: Endpoints of minor axis (+10, 0), distance between foci =6

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Q: How do I find the coordinate of the midpoint between the points (-3,-2) and (-10,6)?

A: Given : To determine the coordinate of the midpoint between the points (-3,-2) and (-10,6).

Q: A parabola intersects the x-axis at x = 3 and r = 9. What is the -coordinate of the parabola's…

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Q: "What is the families of the curve of all Parabolas with axis parallel to the x-axis

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Q: (18.-) Find the point on the parabola x = - t, y = - t, -o <t<o, closest to the point 16, (16.-) O…

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Q: (2) Straight lines with slope and x-intercept equal (3) Family of parabolas with vertex and focus on…

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Q: A huge forest has a fence in the shope of a right triangle with sides measuring 850V3 miles, 850…

A: right triangle with sides measuring 850 3 miles, 850 miles, and 1700 miles

Q: 4. Quarterback Cody can throw a football in a perfect parabolic arc to a receiver 40 yards…

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Q: 2- х Find the average height of the arch above the An arch is 675 ft high and has a 560-ft base. It…

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Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

Q: A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along…

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Q: A parabola has its axis parallel to the x-axis, one end of its latus rectum at (-15/4,3/2) and…

A: Given Information:A parabola has axis parallel to the x-axis.Latus rectum at -154 , 32Vertex at (-1,…

Q: A rectangle in the first quadrant has can be made with its lower left vertex at the origin, one side…

A: Equation of the graph - y = 8-x3                 ....................(1)Point (x, y) on the upper…

Q: (equation of the parabola) Parabolas with axis parallel to the x-axis

A: Formation of the differential equation

Q: Using phytagorean theorem, derived the standard equation of a circle.

A: Given :   Using phytagorean theorem, derived the standard equation of a circle.

Q: (result of elimination of constant) * Parabola with vertex and focus on the y-axis

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Q: Using the graph of the parabola to fill out the information

A: Given,           The graph of the parabola is shown below :

Q: SITUATION. A vertical parabola passes through (3, 6), ( 5, -7) and (9, 4). The axis of symmetry is?

A: Let's find axis of symmetry.

Q: parabola. Replace the heading for the second column with the equation for the parabola. Property y =…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: entify the vertex, axis of symmetry, and direction of the opening of the parabola y=x^2−4x+6? A…

A: To determine the vertex, axis of symmetry, and direction of the opening of the below parabola.…

Q: Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s…

A: The given situation represents in the xy-plane and let (0,0) be the origin, that represent the…

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: A right triangle is in the first quadrant with a vertex at the origin and the other two vertices on…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 -…

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Q: 3. Identify the vertex, axis of symmetry, and direction of the opening of the parabola y =x - 4x +…

A: Understand with help of graph

Q: Find the equation of the parabola y = ax2 + bx + c that passes through the points. To verify your…

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Q: Minimum and Maximum how many regions are created by two circles and one ellipse?

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Q: A rectangle is bounded by the x-axis and a parabola defined by y = 4 - x2. Refer to the figure…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: equation of the parabola with vertex

A: Parabola Equation y = ax2+bx+c could be re-written in vertex form: y=ax-h2 + k where: h: is the…

Q: An engineer designs a cable of suspension bridge that hangs in the form of a parabola, the towers…

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Q: b. Family of parabolas whose vertex is along the line y -2, %3D

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Q: Choose the correct option. If the locus of the circumcentre of variable triangle having sides x = 0…

A: From the given information Coordinates of A is (0,2) At B , the value of y is 2…

Q: shortest distance from the point (0,6) to the parabola x² – 4y = 0.

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Q: Area of the trapezium whose vertices lies on the parabola y = 4x and its diagonals pass through (1,…

A: Here  The vertices lie on the parabola y2=4x and diagonal pass through (1,0) and diagonal length…

Q: 1. The straight line in the figure is tangent to the parabola. Find the value y = za2 - 4x + 10 6.…

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Q: 4. Quarterback Cody can throw a football in a perfect parabolic arc to a receiver 40 yards…

A: Max height = 16 at half way = 20 Vertex of parts of ball (h, k) = (20, 16)

Q: How do I convert a formula to vertex form by "complete the square" method.

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Q: 3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the…

A: according to our guideline we are supposed Answer only the first question if you want any particular…

Q: A tunnel through a mountain for a four lane highway is to have an elliptical opening. The total…

A: Given information: A tunnel through a mountain for a four lane highway is to have an elliptical…

Q: The points in a rectangular waterproofed room with dimensions 20 x 20 x 20 are given coordinates by…

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Q: Parabolas with axis parallel to the x-axis

A: Parabolas with axis parallel to the x-axis

Q: Suppose a parabola has symmetry with respect to the line x = 3. If (8, 19) is a point of the graph,…

A: Given that : A parabola has symmetry with respect to the line x = 3.    If  (8,19) is a point of the…

Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: How to write the equation a parabola with a focus of (-7,0) and directrix line x=7

A: Given, focus is -7,0

Q: 9. Vertices: (-4, -7) and (-4, 7) Foci: (-4, -V13 ) and (-4, v13 )

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 6 –…

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Q: Decide whether the problem can be solved using precalculus or whether calculus is required. If the…

A: Precalculus is basically college calculus which involves algebra and trigonometry at a basic level